A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by

Options

A. `sqrt2 Mg`
B. `sqrt2 mg`
C. `sqrt((M+m)^2+m^2)g`
D. `sqrt((M+m)^2+M^2)g`

Answer

D

Explanation

At euilibrium `T=mg`

F.B.D. of pulley
`F_1=(m+M)g`
The resultant force on pulley is
`F=sqrt(F_1^2+T^2)=[sqrt((m+M^2)+M^2)]g`